0.00/0.27	MAYBE
0.00/0.27	Input TRS:
0.00/0.27	    AC symbols: plus times
0.00/0.27	    1: zero(0()) -> 0()
0.00/0.27	    2: plus(x,0()) -> x
0.00/0.27	    3: plus(zero(x),zero(y)) -> zero(plus(x,y))
0.00/0.27	    4: plus(zero(x),un(y)) -> un(plus(x,y))
0.00/0.27	    5: plus(zero(x),j(y)) -> j(plus(x,y))
0.00/0.27	    6: plus(un(x),j(y)) -> zero(plus(x,y))
0.00/0.27	    7: plus(un(x),un(y)) -> j(plus(x,plus(y,un(0()))))
0.00/0.27	    8: plus(j(x),j(y)) -> un(plus(x,plus(y,j(0()))))
0.00/0.27	    9: minus(x,y) -> plus(x,neg(y))
0.00/0.27	    10: neg(0()) -> 0()
0.00/0.27	    11: neg(zero(x)) -> zero(neg(x))
0.00/0.27	    12: neg(un(x)) -> j(neg(x))
0.00/0.27	    13: neg(j(x)) -> un(neg(x))
0.00/0.27	    14: times(x,0()) -> 0()
0.00/0.27	    15: times(x,times(0(),z)) -> times(0(),z)
0.00/0.27	    16: times(x,zero(y)) -> zero(times(x,y))
0.00/0.27	    17: times(x,times(zero(y),z)) -> times(zero(times(x,y)),z)
0.00/0.27	    18: times(x,un(y)) -> plus(x,zero(times(x,y)))
0.00/0.27	    19: times(x,times(un(y),z)) -> times(plus(x,zero(times(x,y))),z)
0.00/0.27	    20: times(x,j(y)) -> plus(zero(times(x,y)),neg(x))
0.00/0.27	    21: times(x,times(j(y),z)) -> times(plus(zero(times(x,y)),neg(x)),z)
0.00/0.27	Number of strict rules: 21
0.00/0.27	Direct POLO(bPol) ... failed.
0.00/0.27	Uncurrying ... failed.
0.00/0.27	Dependency Pairs:
0.00/0.27	   #1: #plus(un(x),j(y)) -> #zero(plus(x,y))
0.00/0.27	   #2: #plus(un(x),j(y)) -> #plus(x,y)
0.00/0.27	   #3: #neg(j(x)) -> #neg(x)
0.00/0.27	   #4: #minus(x,y) -> #plus(x,neg(y))
0.00/0.27	   #5: #minus(x,y) -> #neg(y)
0.00/0.27	   #6: #neg(zero(x)) -> #zero(neg(x))
0.00/0.27	   #7: #neg(zero(x)) -> #neg(x)
0.00/0.27	   #8: #times(x,times(y,z)) ->= #times(times(x,y),z)
0.00/0.27	   #9: #times(x,times(y,z)) ->= #times(x,y)
0.00/0.27	   #10: #neg(un(x)) -> #neg(x)
0.00/0.27	   #11: #times(x,j(y)) -> #plus(zero(times(x,y)),neg(x))
0.00/0.27	   #12: #times(x,j(y)) -> #zero(times(x,y))
0.00/0.27	   #13: #times(x,j(y)) -> #times(x,y)
0.00/0.27	   #14: #times(x,j(y)) -> #neg(x)
0.00/0.27	   #15: #plus(un(x),un(y)) -> #plus(x,plus(y,un(0())))
0.00/0.27	   #16: #plus(un(x),un(y)) -> #plus(y,un(0()))
0.00/0.27	   #17: #plus(zero(x),j(y)) -> #plus(x,y)
0.00/0.27	   #18: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
0.00/0.27	   #19: #plus(x,plus(y,z)) ->= #plus(x,y)
0.00/0.27	   #20: #times(x,times(zero(y),z)) -> #times(zero(times(x,y)),z)
0.00/0.27	   #21: #times(x,times(zero(y),z)) -> #zero(times(x,y))
0.00/0.27	   #22: #times(x,times(zero(y),z)) -> #times(x,y)
0.00/0.27	   #23: #times(x,times(un(y),z)) -> #times(plus(x,zero(times(x,y))),z)
0.00/0.27	   #24: #times(x,times(un(y),z)) -> #plus(x,zero(times(x,y)))
0.00/0.27	   #25: #times(x,times(un(y),z)) -> #zero(times(x,y))
0.00/0.27	   #26: #times(x,times(un(y),z)) -> #times(x,y)
0.00/0.27	   #27: #times(x,times(j(y),z)) -> #times(plus(zero(times(x,y)),neg(x)),z)
0.00/0.27	   #28: #times(x,times(j(y),z)) -> #plus(zero(times(x,y)),neg(x))
0.00/0.27	   #29: #times(x,times(j(y),z)) -> #zero(times(x,y))
0.00/0.27	   #30: #times(x,times(j(y),z)) -> #times(x,y)
0.00/0.27	   #31: #times(x,times(j(y),z)) -> #neg(x)
0.00/0.27	   #32: #times(x,zero(y)) -> #zero(times(x,y))
0.00/0.27	   #33: #times(x,zero(y)) -> #times(x,y)
0.00/0.27	   #34: #plus(zero(x),zero(y)) -> #zero(plus(x,y))
0.00/0.27	   #35: #plus(zero(x),zero(y)) -> #plus(x,y)
0.00/0.27	   #36: #plus(j(x),j(y)) -> #plus(x,plus(y,j(0())))
0.00/0.27	   #37: #plus(j(x),j(y)) -> #plus(y,j(0()))
0.00/0.27	   #38: #plus(zero(x),un(y)) -> #plus(x,y)
0.00/0.27	   #39: #times(x,un(y)) -> #plus(x,zero(times(x,y)))
0.00/0.27	   #40: #times(x,un(y)) -> #zero(times(x,y))
0.00/0.27	   #41: #times(x,un(y)) -> #times(x,y)
0.00/0.27	Number of SCCs: 3, DPs: 24
0.00/0.27	  SCC { #3 #7 #10 }
0.00/0.27	POLO(Sum)... succeeded.
0.00/0.27	      zero	w: x1 + 1
0.00/0.27	      minus	w: 0
0.00/0.27	      #plus	w: 0
0.00/0.27	      #times	w: 0
0.00/0.27	      0 	w: 0
0.00/0.27	      times	w: 0
0.00/0.27	      neg	w: 0
0.00/0.27	      j 	w: x1 + 1
0.00/0.27	      #minus	w: 0
0.00/0.27	      plus	w: 0
0.00/0.27	      #neg	w: x1
0.00/0.27	      #zero	w: 0
0.00/0.27	      un	w: x1 + 1
0.00/0.27	    USABLE RULES: { }
0.00/0.27	    Removed DPs: #3 #7 #10
0.00/0.27	Number of SCCs: 2, DPs: 21
0.00/0.27	  SCC { #2 #15..19 #35..38 }
0.00/0.27	POLO(Sum)... succeeded.
0.00/0.27	      zero	w: x1 + 1
0.00/0.27	      minus	w: 0
0.00/0.27	      #plus	w: x1 + x2
0.00/0.27	      #times	w: 0
0.00/0.27	      0 	w: 0
0.00/0.27	      times	w: 0
0.00/0.27	      neg	w: 0
0.00/0.27	      j 	w: x1 + 1
0.00/0.27	      #minus	w: 0
0.00/0.27	      plus	w: x1 + x2
0.00/0.27	      #neg	w: 0
0.00/0.27	      #zero	w: 0
0.00/0.27	      un	w: x1 + 1
0.00/0.27	    USABLE RULES: { 1..8 22 }
0.00/0.27	    Removed DPs: #2 #15..17 #35..38
0.00/0.27	Number of SCCs: 2, DPs: 13
0.00/0.27	  SCC { #18 #19 }
0.00/0.27	only weak rules.
0.00/0.27	Number of SCCs: 1, DPs: 11
0.00/0.27	  SCC { #8 #9 #13 #20 #22 #23 #26 #27 #30 #33 #41 }
0.00/0.27	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
0.00/0.27	      zero	w: max(x1, 0)
0.00/0.27	      minus	w: max(x2 - 1, 0)
0.00/0.27	      #plus	w: 0
0.00/0.27	      #times	w: max(x1 + x2 - 1, 0)
0.00/0.27	      0 	w: 0
0.00/0.27	      times	w: max(x1 + x2 + 2, 0)
0.00/0.27	      neg	w: max(x1 - 1, 0)
0.00/0.27	      j 	w: max(x1, 0)
0.00/0.27	      #minus	w: 0
0.00/0.27	      plus	w: max(x1, x2, 0)
0.00/0.27	      #neg	w: 0
0.00/0.27	      #zero	w: max(x1 - 1, 0)
0.00/0.27	      un	w: max(x1, 0)
0.00/0.27	    USABLE RULES: { 1..8 10..23 }
0.00/0.27	    Removed DPs: #9 #22 #26 #30
0.00/0.27	Number of SCCs: 1, DPs: 7
0.00/0.27	  SCC { #8 #13 #20 #23 #27 #33 #41 }
0.00/0.27	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
0.00/0.27	Finding a loop...  failed.
0.00/0.27	EOF